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The principal value branch of sec^(-1) i...

The principal value branch of `sec^(-1)` is

A

`[-pi/2, pi/2]-{0}`

B

`[0, pi]-{pi/2}`

C

`(0, pi)`

D

`(-pi/2, pi/2)`

Text Solution

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The correct Answer is:
B
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ACCURATE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTIONS CARRYING 1 MARK - TYPE-I (MULTIPE CHOICE QUESTION)
  1. tan^(-1)(1)-cot^(-1)(1) is equal to ......

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  2. Which of the following corresponds to the principal value of tan^(-1)?

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  3. The principal value branch of sec^(-1) is

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  4. One branch of cos^(-1) other than the principal value branch correspon...

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  5. The value of sin^(-1)(cos""(43pi)/(5)) is

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  6. The principal value of the expression cos^(-1)[cos(-680^(@))] is

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  7. The value of cot(sin^(-1)x) is

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  8. The domain of sin^(-1)2x is

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  9. the principal value of sin^(-1)(-sqrt3/2) is

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  10. Let theta=(sin^(-1)sin(-600^(@))), then value of theta is

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  11. The domain of the function y=sin^(-1)(-x^(2)) is

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  12. The domain of y=cos^(-1)(x^(2)-4) is

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  13. The value of the expression sin[cot^(-1)(cos(tan^(-1)1))] is

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  14. The value of tan^(2) (sec^(-1)2)+ cot^(2) ("cosec"^(-1)2/(√ 3)) is

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  15. Which of the following is the principal value branch of cos^(-1)x ?

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  16. Which of the following is the principal value branch of cosec^(-1)x ?

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  17. The value of sin^(-1)(cos((33pi)/5)) is

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  18. The domain of the function cos^(-1)(2x-1) is

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  19. The domain of the function defined by f(x)=sin^(-1)sqrt(x-1) is

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  20. If cos(sin^(-1)""3/5+cos^(-1)x)=0, then x is equal to

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